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<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    package org.apache.commons.math3.geometry.euclidean.threed;<a name="line.17"></a>
<FONT color="green">018</FONT>    <a name="line.18"></a>
<FONT color="green">019</FONT>    import org.apache.commons.math3.geometry.euclidean.oned.Vector1D;<a name="line.19"></a>
<FONT color="green">020</FONT>    import org.apache.commons.math3.geometry.euclidean.twod.Euclidean2D;<a name="line.20"></a>
<FONT color="green">021</FONT>    import org.apache.commons.math3.geometry.euclidean.twod.Vector2D;<a name="line.21"></a>
<FONT color="green">022</FONT>    import org.apache.commons.math3.geometry.euclidean.twod.PolygonsSet;<a name="line.22"></a>
<FONT color="green">023</FONT>    import org.apache.commons.math3.geometry.partitioning.AbstractSubHyperplane;<a name="line.23"></a>
<FONT color="green">024</FONT>    import org.apache.commons.math3.geometry.partitioning.BSPTree;<a name="line.24"></a>
<FONT color="green">025</FONT>    import org.apache.commons.math3.geometry.partitioning.Hyperplane;<a name="line.25"></a>
<FONT color="green">026</FONT>    import org.apache.commons.math3.geometry.partitioning.Region;<a name="line.26"></a>
<FONT color="green">027</FONT>    import org.apache.commons.math3.geometry.partitioning.Side;<a name="line.27"></a>
<FONT color="green">028</FONT>    import org.apache.commons.math3.geometry.partitioning.SubHyperplane;<a name="line.28"></a>
<FONT color="green">029</FONT>    <a name="line.29"></a>
<FONT color="green">030</FONT>    /** This class represents a sub-hyperplane for {@link Plane}.<a name="line.30"></a>
<FONT color="green">031</FONT>     * @version $Id: SubPlane.java 1416643 2012-12-03 19:37:14Z tn $<a name="line.31"></a>
<FONT color="green">032</FONT>     * @since 3.0<a name="line.32"></a>
<FONT color="green">033</FONT>     */<a name="line.33"></a>
<FONT color="green">034</FONT>    public class SubPlane extends AbstractSubHyperplane&lt;Euclidean3D, Euclidean2D&gt; {<a name="line.34"></a>
<FONT color="green">035</FONT>    <a name="line.35"></a>
<FONT color="green">036</FONT>        /** Simple constructor.<a name="line.36"></a>
<FONT color="green">037</FONT>         * @param hyperplane underlying hyperplane<a name="line.37"></a>
<FONT color="green">038</FONT>         * @param remainingRegion remaining region of the hyperplane<a name="line.38"></a>
<FONT color="green">039</FONT>         */<a name="line.39"></a>
<FONT color="green">040</FONT>        public SubPlane(final Hyperplane&lt;Euclidean3D&gt; hyperplane,<a name="line.40"></a>
<FONT color="green">041</FONT>                        final Region&lt;Euclidean2D&gt; remainingRegion) {<a name="line.41"></a>
<FONT color="green">042</FONT>            super(hyperplane, remainingRegion);<a name="line.42"></a>
<FONT color="green">043</FONT>        }<a name="line.43"></a>
<FONT color="green">044</FONT>    <a name="line.44"></a>
<FONT color="green">045</FONT>        /** {@inheritDoc} */<a name="line.45"></a>
<FONT color="green">046</FONT>        @Override<a name="line.46"></a>
<FONT color="green">047</FONT>        protected AbstractSubHyperplane&lt;Euclidean3D, Euclidean2D&gt; buildNew(final Hyperplane&lt;Euclidean3D&gt; hyperplane,<a name="line.47"></a>
<FONT color="green">048</FONT>                                                                           final Region&lt;Euclidean2D&gt; remainingRegion) {<a name="line.48"></a>
<FONT color="green">049</FONT>            return new SubPlane(hyperplane, remainingRegion);<a name="line.49"></a>
<FONT color="green">050</FONT>        }<a name="line.50"></a>
<FONT color="green">051</FONT>    <a name="line.51"></a>
<FONT color="green">052</FONT>        /** {@inheritDoc} */<a name="line.52"></a>
<FONT color="green">053</FONT>        @Override<a name="line.53"></a>
<FONT color="green">054</FONT>        public Side side(Hyperplane&lt;Euclidean3D&gt; hyperplane) {<a name="line.54"></a>
<FONT color="green">055</FONT>    <a name="line.55"></a>
<FONT color="green">056</FONT>            final Plane otherPlane = (Plane) hyperplane;<a name="line.56"></a>
<FONT color="green">057</FONT>            final Plane thisPlane  = (Plane) getHyperplane();<a name="line.57"></a>
<FONT color="green">058</FONT>            final Line  inter      = otherPlane.intersection(thisPlane);<a name="line.58"></a>
<FONT color="green">059</FONT>    <a name="line.59"></a>
<FONT color="green">060</FONT>            if (inter == null) {<a name="line.60"></a>
<FONT color="green">061</FONT>                // the hyperplanes are parallel,<a name="line.61"></a>
<FONT color="green">062</FONT>                // any point can be used to check their relative position<a name="line.62"></a>
<FONT color="green">063</FONT>                final double global = otherPlane.getOffset(thisPlane);<a name="line.63"></a>
<FONT color="green">064</FONT>                return (global &lt; -1.0e-10) ? Side.MINUS : ((global &gt; 1.0e-10) ? Side.PLUS : Side.HYPER);<a name="line.64"></a>
<FONT color="green">065</FONT>            }<a name="line.65"></a>
<FONT color="green">066</FONT>    <a name="line.66"></a>
<FONT color="green">067</FONT>            // create a 2D line in the otherPlane canonical 2D frame such that:<a name="line.67"></a>
<FONT color="green">068</FONT>            //   - the line is the crossing line of the two planes in 3D<a name="line.68"></a>
<FONT color="green">069</FONT>            //   - the line splits the otherPlane in two half planes with an<a name="line.69"></a>
<FONT color="green">070</FONT>            //     orientation consistent with the orientation of the instance<a name="line.70"></a>
<FONT color="green">071</FONT>            //     (i.e. the 3D half space on the plus side (resp. minus side)<a name="line.71"></a>
<FONT color="green">072</FONT>            //      of the instance contains the 2D half plane on the plus side<a name="line.72"></a>
<FONT color="green">073</FONT>            //      (resp. minus side) of the 2D line<a name="line.73"></a>
<FONT color="green">074</FONT>            Vector2D p = thisPlane.toSubSpace(inter.toSpace(Vector1D.ZERO));<a name="line.74"></a>
<FONT color="green">075</FONT>            Vector2D q = thisPlane.toSubSpace(inter.toSpace(Vector1D.ONE));<a name="line.75"></a>
<FONT color="green">076</FONT>            Vector3D crossP = Vector3D.crossProduct(inter.getDirection(), thisPlane.getNormal());<a name="line.76"></a>
<FONT color="green">077</FONT>            if (crossP.dotProduct(otherPlane.getNormal()) &lt; 0) {<a name="line.77"></a>
<FONT color="green">078</FONT>                final Vector2D tmp = p;<a name="line.78"></a>
<FONT color="green">079</FONT>                p           = q;<a name="line.79"></a>
<FONT color="green">080</FONT>                q           = tmp;<a name="line.80"></a>
<FONT color="green">081</FONT>            }<a name="line.81"></a>
<FONT color="green">082</FONT>            final org.apache.commons.math3.geometry.euclidean.twod.Line line2D =<a name="line.82"></a>
<FONT color="green">083</FONT>                new org.apache.commons.math3.geometry.euclidean.twod.Line(p, q);<a name="line.83"></a>
<FONT color="green">084</FONT>    <a name="line.84"></a>
<FONT color="green">085</FONT>            // check the side on the 2D plane<a name="line.85"></a>
<FONT color="green">086</FONT>            return getRemainingRegion().side(line2D);<a name="line.86"></a>
<FONT color="green">087</FONT>    <a name="line.87"></a>
<FONT color="green">088</FONT>        }<a name="line.88"></a>
<FONT color="green">089</FONT>    <a name="line.89"></a>
<FONT color="green">090</FONT>        /** Split the instance in two parts by an hyperplane.<a name="line.90"></a>
<FONT color="green">091</FONT>         * @param hyperplane splitting hyperplane<a name="line.91"></a>
<FONT color="green">092</FONT>         * @return an object containing both the part of the instance<a name="line.92"></a>
<FONT color="green">093</FONT>         * on the plus side of the instance and the part of the<a name="line.93"></a>
<FONT color="green">094</FONT>         * instance on the minus side of the instance<a name="line.94"></a>
<FONT color="green">095</FONT>         */<a name="line.95"></a>
<FONT color="green">096</FONT>        @Override<a name="line.96"></a>
<FONT color="green">097</FONT>        public SplitSubHyperplane&lt;Euclidean3D&gt; split(Hyperplane&lt;Euclidean3D&gt; hyperplane) {<a name="line.97"></a>
<FONT color="green">098</FONT>    <a name="line.98"></a>
<FONT color="green">099</FONT>            final Plane otherPlane = (Plane) hyperplane;<a name="line.99"></a>
<FONT color="green">100</FONT>            final Plane thisPlane  = (Plane) getHyperplane();<a name="line.100"></a>
<FONT color="green">101</FONT>            final Line  inter      = otherPlane.intersection(thisPlane);<a name="line.101"></a>
<FONT color="green">102</FONT>    <a name="line.102"></a>
<FONT color="green">103</FONT>            if (inter == null) {<a name="line.103"></a>
<FONT color="green">104</FONT>                // the hyperplanes are parallel<a name="line.104"></a>
<FONT color="green">105</FONT>                final double global = otherPlane.getOffset(thisPlane);<a name="line.105"></a>
<FONT color="green">106</FONT>                return (global &lt; -1.0e-10) ?<a name="line.106"></a>
<FONT color="green">107</FONT>                       new SplitSubHyperplane&lt;Euclidean3D&gt;(null, this) :<a name="line.107"></a>
<FONT color="green">108</FONT>                       new SplitSubHyperplane&lt;Euclidean3D&gt;(this, null);<a name="line.108"></a>
<FONT color="green">109</FONT>            }<a name="line.109"></a>
<FONT color="green">110</FONT>    <a name="line.110"></a>
<FONT color="green">111</FONT>            // the hyperplanes do intersect<a name="line.111"></a>
<FONT color="green">112</FONT>            Vector2D p = thisPlane.toSubSpace(inter.toSpace(Vector1D.ZERO));<a name="line.112"></a>
<FONT color="green">113</FONT>            Vector2D q = thisPlane.toSubSpace(inter.toSpace(Vector1D.ONE));<a name="line.113"></a>
<FONT color="green">114</FONT>            Vector3D crossP = Vector3D.crossProduct(inter.getDirection(), thisPlane.getNormal());<a name="line.114"></a>
<FONT color="green">115</FONT>            if (crossP.dotProduct(otherPlane.getNormal()) &lt; 0) {<a name="line.115"></a>
<FONT color="green">116</FONT>                final Vector2D tmp = p;<a name="line.116"></a>
<FONT color="green">117</FONT>                p           = q;<a name="line.117"></a>
<FONT color="green">118</FONT>                q           = tmp;<a name="line.118"></a>
<FONT color="green">119</FONT>            }<a name="line.119"></a>
<FONT color="green">120</FONT>            final SubHyperplane&lt;Euclidean2D&gt; l2DMinus =<a name="line.120"></a>
<FONT color="green">121</FONT>                new org.apache.commons.math3.geometry.euclidean.twod.Line(p, q).wholeHyperplane();<a name="line.121"></a>
<FONT color="green">122</FONT>            final SubHyperplane&lt;Euclidean2D&gt; l2DPlus =<a name="line.122"></a>
<FONT color="green">123</FONT>                new org.apache.commons.math3.geometry.euclidean.twod.Line(q, p).wholeHyperplane();<a name="line.123"></a>
<FONT color="green">124</FONT>    <a name="line.124"></a>
<FONT color="green">125</FONT>            final BSPTree&lt;Euclidean2D&gt; splitTree = getRemainingRegion().getTree(false).split(l2DMinus);<a name="line.125"></a>
<FONT color="green">126</FONT>            final BSPTree&lt;Euclidean2D&gt; plusTree  = getRemainingRegion().isEmpty(splitTree.getPlus()) ?<a name="line.126"></a>
<FONT color="green">127</FONT>                                                   new BSPTree&lt;Euclidean2D&gt;(Boolean.FALSE) :<a name="line.127"></a>
<FONT color="green">128</FONT>                                                   new BSPTree&lt;Euclidean2D&gt;(l2DPlus, new BSPTree&lt;Euclidean2D&gt;(Boolean.FALSE),<a name="line.128"></a>
<FONT color="green">129</FONT>                                                                            splitTree.getPlus(), null);<a name="line.129"></a>
<FONT color="green">130</FONT>    <a name="line.130"></a>
<FONT color="green">131</FONT>            final BSPTree&lt;Euclidean2D&gt; minusTree = getRemainingRegion().isEmpty(splitTree.getMinus()) ?<a name="line.131"></a>
<FONT color="green">132</FONT>                                                   new BSPTree&lt;Euclidean2D&gt;(Boolean.FALSE) :<a name="line.132"></a>
<FONT color="green">133</FONT>                                                       new BSPTree&lt;Euclidean2D&gt;(l2DMinus, new BSPTree&lt;Euclidean2D&gt;(Boolean.FALSE),<a name="line.133"></a>
<FONT color="green">134</FONT>                                                                                splitTree.getMinus(), null);<a name="line.134"></a>
<FONT color="green">135</FONT>    <a name="line.135"></a>
<FONT color="green">136</FONT>            return new SplitSubHyperplane&lt;Euclidean3D&gt;(new SubPlane(thisPlane.copySelf(), new PolygonsSet(plusTree)),<a name="line.136"></a>
<FONT color="green">137</FONT>                                                       new SubPlane(thisPlane.copySelf(), new PolygonsSet(minusTree)));<a name="line.137"></a>
<FONT color="green">138</FONT>    <a name="line.138"></a>
<FONT color="green">139</FONT>        }<a name="line.139"></a>
<FONT color="green">140</FONT>    <a name="line.140"></a>
<FONT color="green">141</FONT>    }<a name="line.141"></a>




























































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